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Finding the Third Proportional to 33,304,671,619 and 72,712,349,244

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Solution

The third proportional to 33,304,671,619 and 72,712,349,244 is: 158,749,072,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,304,671,619 : 72,712,349,244 = 72,712,349,244 : x
  2. Step 2: Convert to fraction form
    33,304,671,619/72,712,349,244 = 72,712,349,244/x
  3. Step 3: Cross multiply
    33,304,671,619x = 72,712,349,244 × 72,712,349,244
  4. Step 4: Simplify right side
    33,304,671,619x = 5,287,085,732,581,427,118,080
  5. Step 5: Solve for x
    x = 5,287,085,732,581,427,118,080/33,304,671,619
  6. Step 6: Final answer
    x = 158,749,072,594.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.